Y. Alibert, J. Venturini, and R. Helled, Nat. Astron, vol.2, p.873, 2018.

M. P. Allen and D. J. Tidsley, Computer Simulations of Liquids, 1989.

I. Baraffe, G. Chabrier, J. Fortney, and C. Sotin, , p.763, 2014.

A. B. Belonoshko, N. V. Skorodumova, and A. Rosengren, Phys. Rev. Lett, vol.94, p.195701, 2005.

J. Bouchet, S. Mazevet, G. Morard, F. Guyot, and R. Musella, Phys. Rev. B, vol.87, p.94102, 2013.

G. Chabrier, S. Mazevet, and F. Soubiran, ApJ, vol.872, p.51, 2019.

N. De-koker and L. Stixrude, Geophys. J. Int, vol.178, p.162, 2009.

F. Debras and G. Chabrier, ApJ, vol.872, p.100, 2019.

M. French, T. R. Mattsson, N. Nettelmann, and R. Redmer, Phys. Rev. B, vol.79, p.54107, 2009.

M. French, M. P. Desjarlais, and R. Redmer, Phys. Rev. E, vol.93, p.22140, 2016.

F. González-cataldo, H. F. Wilson, and B. Militzer, ApJ, vol.787, p.79, 2014.

X. Gonze, B. Amadon, and P. M. Anglade, Comput. Phys. Commun, vol.180, p.2582, 2009.

T. Guillot, G. Chabrier, D. Gautier, and P. Morel, ApJ, vol.450, p.463, 1995.

T. Guillot and D. Gautier, , 2014.

R. Helled and T. Guillot, Handbook of Exoplanets. Internal Structure of Giant and Icy Planets: Importance of Heavy Elements and Mixing, p.44, 2018.

F. Jollet, M. Torrent, and N. Holzwarth, Comput. Phys. Commun, vol.185, p.1246, 2014.

J. Leconte and G. Chabrier, Nat. Geosci, vol.6, p.347, 2013.

R. M. Martins, Electronic Structure, 2004.

S. Mazevet, F. Lambert, F. Bottin, G. Zérah, and J. Clérouin, Phys. Rev. E, vol.75, p.56404, 2007.

S. Mazevet, T. Tsuchiya, T. Taniuchi, A. Benuzzi-mounaix, and F. Guyot, Phys. Rev. B, vol.92, p.14105, 2015.

S. Mazevet, A. Licari, and F. Soubiran, A&A, 2019.

S. Mazevet, A. Licari, G. Chabrier, and A. Y. Potekhin, A&A, vol.621, p.128, 2019.

Y. Miguel, T. Guillot, and L. Fayon, A&A, vol.596, p.114, 2016.

B. Militzer and W. B. Hubbard, ApJ, vol.774, p.148, 2013.

G. Morard, J. Bouchet, D. Valencia, S. Mazevet, and F. Guyot, High Energy Density Phys, vol.7, p.141, 2011.

R. Musella, S. Mazevet, and F. Guyot, Phys. Rev. B, vol.99, p.64110, 2019.

N. Nettelmann, A. Becker, B. Holst, and R. Redmer, ApJ, vol.750, p.52, 2012.

N. Nettelmann, R. Püstow, and R. Redmer, Icarus, vol.225, p.548, 2013.

J. P. Poirier, Introduction to the Physics of the Earth's Interior, 2004.

J. B. Pollack, O. Hubickyj, and P. Bodenheimer, Icarus, vol.124, p.62, 1996.

F. Soubiran and B. Militzer, ApJ, vol.806, p.228, 2015.

L. Stixrude, Phys. Rev. Lett, vol.108, p.55505, 2012.

K. Umemoto and R. M. Wentzcovitch, Earth Planet. Sci. Lett, vol.311, p.225, 2011.

K. Umemoto, R. M. Wentzcovitch, and P. B. Allen, Science, vol.311, p.983, 2006.

U. Von-zahn, D. M. Hunten, and G. Lehmacher, J. Geophys. Res, vol.103, p.22815, 1998.

S. M. Wahl, W. B. Hubbard, and B. Militzer, Geophys. Res. Lett, vol.44, p.4649, 2017.

H. F. Wilson and B. Militzer, ApJ, vol.745, p.54, 2012.

H. F. Wilson, M. L. Wong, and B. Militzer, Phys. Rev. Lett, vol.110, p.151102, 2013.

S. Q. Wu, M. Ji, and C. Z. Wang, J. Phys.: Condens. Matter, vol.26, p.35402, 2013.

J. Zhou and D. N. Lin, ApJ, vol.666, p.447, 2007.